contestada

Point A is located at (4, 1) and point B is located at (9, 13) .

What are the coordinates of the point that partitions the directed line segment AB¯¯¯¯¯ in a 4:1 ratio?



Enter your answer as decimals in the boxes.

( , )

Respuesta :

cdw2014
If we partition the segment in a 4:1 ratio, that means we have 5 parts; 4 to the left of the partition, and 1 to the right. The segment goes from x = 4 to x= 9 which conveniently is a difference of 5. Now we can find the slope so that we can find the y value at x = 8.

Answer: (8, 10.6)
Ver imagen cdw2014

Answer:

 C=(8,10.6)

Step-by-step explanation:

Given : Line segment AB with coordinate     [tex]A=(x_1,y_1) =(4,1)[/tex]      and  [tex]B=(x_2,y_2) =(9,13)[/tex]

Ratio dives the line segment m:n = 4:1

To find : The coordinates of the point that partitions the directed line segment  AB (let C)

Formula used:  

[tex]C= (\frac{x_1 n+x_2 m }{m+n},\frac{y_1 n+y_2 m}{m+n})[/tex]

Place all the values we get,

 [tex]C= (\frac{(4)(1)+(9)(4)}{4+1},\frac{(1)(1)+(13)(4)}{4+1})[/tex]  

 [tex]C= (\frac{4+36}{5},\frac{1+52}{5})[/tex]  

 [tex]C= (\frac{40}{5},\frac{53}{5})[/tex]  

 [tex]C= (8,10.6)[/tex]  

Refer the attached graph for clearance.

Ver imagen DodieZollner

Otras preguntas